As someone whose own family members and childhood friends were/are in the Klan, it can get pretty weird trying to figure out exactly who they dislike. Obviously any and all non-whites are hated. But even some whites are hated. If you have black friends or are sympathetic to African-Americans? You're a "N**ger Lover" and hated. Catholics are hated. Jews are hated. Liberals are hated. Homosexuals are hated. If you're a foreigner, and you're white European, you're you're looked upon with suspicion until you 'prove' your allegiance to America and you don't like non-whites, Catholics, or Jews. Thankfully my father saw through their silliness and educated my brother and I. But it wasn't easy. Growing up in Kentucky, my family were dirt poor and ended up living in an area where other poor whites and blacks lived. Everyday, my brother and I were attacked by the black kids. Years later, when we moved to the Ozarks, the area was heavily segregated. I decided to visit the black side of town (on Juneteenth no less) to try and make friends and learn more about their culture. I was immediately surrounded and threatened with it being made clear I wasn't welcome and if I came back, "We gon' carve da white off y'all". My cousins and friends tried desperately to use these instances to prove their rhetoric. They knew my family was pretty religious so they used Ephesians' 'master and slave' advice on me as well.
The KKK are fairly easy for me to deal with since I'm white, Southern and have acquaintances with them. They don't like that I'm married to an Asian-American woman, though. I don't want anyone to get the idea that I'm chummy with 'em, because I ain't.
Now with Neo-Nazis and Skinheads, you never know what to expect. They're all about white power this and white power that, but they actually like some Orthodox Christian countries because of their involvement with the Jewish Pogroms. Just as an arbitrary example, they don't see Serbians as white but they like "them Orthodox boys 'cause they knew how to handle their Jews!" *
* This was a quote taken from Stormfront, a racist, white-power site run by Skinheads but has members from all types of hate groups. Sadly, I know some Orthodox Christians who visit and participate there often (One of them showed me the quote about 'Orthodox Christians' I just used.